3.8.1 \(\int \genfrac {}{}{}{}{(f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [701]
  3.8.2 \(\int \genfrac {}{}{}{}{(f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [702]
  3.8.3 \(\int \genfrac {}{}{}{}{(f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [703]
  3.8.4 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [704]
  3.8.5 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)} \, dx\) [705]
  3.8.6 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^2} \, dx\) [706]
  3.8.7 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^3} \, dx\) [707]
  3.8.8 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^4} \, dx\) [708]
  3.8.9 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^5} \, dx\) [709]
  3.8.10 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^6} \, dx\) [710]
  3.8.11 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^7} \, dx\) [711]
  3.8.12 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)^{5/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [712]
  3.8.13 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)^{3/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [713]
  3.8.14 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} \sqrt {f+g x}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [714]
  3.8.15 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{\sqrt {f+g x} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [715]
  3.8.16 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^{3/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [716]
  3.8.17 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^{5/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [717]
  3.8.18 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^{7/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [718]
  3.8.19 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(f+g x)^{9/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [719]
  3.8.20 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [720]
  3.8.21 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [721]
  3.8.22 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} \sqrt {f+g x}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [722]
  3.8.23 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [723]
  3.8.24 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [724]
  3.8.25 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^{5/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [725]
  3.8.26 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^{7/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [726]
  3.8.27 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)^{5/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [727]
  3.8.28 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)^{3/2}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [728]
  3.8.29 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} \sqrt {f+g x}}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [729]
  3.8.30 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [730]
  3.8.31 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [731]
  3.8.32 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(f+g x)^{5/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [732]
  3.8.33 \(\int \genfrac {}{}{}{}{(f+g x)^{5/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [733]
  3.8.34 \(\int \genfrac {}{}{}{}{(f+g x)^{3/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [734]
  3.8.35 \(\int \genfrac {}{}{}{}{\sqrt {f+g x} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [735]
  3.8.36 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} \sqrt {f+g x}} \, dx\) [736]
  3.8.37 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{3/2}} \, dx\) [737]
  3.8.38 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{5/2}} \, dx\) [738]
  3.8.39 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{7/2}} \, dx\) [739]
  3.8.40 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{9/2}} \, dx\) [740]
  3.8.41 \(\int \genfrac {}{}{}{}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{11/2}} \, dx\) [741]
  3.8.42 \(\int \genfrac {}{}{}{}{(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [742]
  3.8.43 \(\int \genfrac {}{}{}{}{\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [743]
  3.8.44 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} \sqrt {f+g x}} \, dx\) [744]
  3.8.45 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{3/2}} \, dx\) [745]
  3.8.46 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{5/2}} \, dx\) [746]
  3.8.47 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{7/2}} \, dx\) [747]
  3.8.48 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{9/2}} \, dx\) [748]
  3.8.49 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{11/2}} \, dx\) [749]
  3.8.50 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{13/2}} \, dx\) [750]
  3.8.51 \(\int \genfrac {}{}{}{}{(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [751]
  3.8.52 \(\int \genfrac {}{}{}{}{\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [752]
  3.8.53 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} \sqrt {f+g x}} \, dx\) [753]
  3.8.54 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{3/2}} \, dx\) [754]
  3.8.55 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{5/2}} \, dx\) [755]
  3.8.56 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{7/2}} \, dx\) [756]
  3.8.57 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{9/2}} \, dx\) [757]
  3.8.58 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{11/2}} \, dx\) [758]
  3.8.59 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{13/2}} \, dx\) [759]
  3.8.60 \(\int \genfrac {}{}{}{}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{15/2}} \, dx\) [760]
  3.8.61 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)^n}{(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}} \, dx\) [761]
  3.8.62 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^n}{(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}} \, dx\) [762]
  3.8.63 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)^n}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [763]
  3.8.64 \(\int \genfrac {}{}{}{}{(f+g x)^n \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\) [764]
  3.8.65 \(\int \genfrac {}{}{}{}{(f+g x)^n (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [765]
  3.8.66 \(\int \genfrac {}{}{}{}{(f+g x)^n (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [766]
  3.8.67 \(\int (d+e x)^m (f+g x)^n (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [767]
  3.8.68 \(\int (d+e x)^m (f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [768]
  3.8.69 \(\int (d+e x)^m (f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [769]
  3.8.70 \(\int (d+e x)^m (f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [770]
  3.8.71 \(\int (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [771]
  3.8.72 \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{f+g x} \, dx\) [772]
  3.8.73 \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{(f+g x)^2} \, dx\) [773]
  3.8.74 \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{(f+g x)^3} \, dx\) [774]
  3.8.75 \(\int (d+e x)^m (f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [775]
  3.8.76 \(\int (d+e x)^m \sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [776]
  3.8.77 \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{\sqrt {f+g x}} \, dx\) [777]
  3.8.78 \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{(f+g x)^{3/2}} \, dx\) [778]
  3.8.79 \(\int \genfrac {}{}{}{}{(d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m}}{(f+g x)^{5/2}} \, dx\) [779]
  3.8.80 \(\int (a e+c d x)^n (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [780]
  3.8.81 \(\int (d+e x)^m (c d^2 e g-e (c d^2+a e^2) g-c d e^2 g x)^{-1+m} (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [781]
  3.8.82 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^n}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [782]
  3.8.83 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^4}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [783]
  3.8.84 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^3}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [784]
  3.8.85 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)^2}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [785]
  3.8.86 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [786]
  3.8.87 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [787]
  3.8.88 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [788]
  3.8.89 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^2 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [789]
  3.8.90 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^3 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [790]
  3.8.91 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(f+g x)^4 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\) [791]
  3.8.92 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [792]
  3.8.93 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [793]
  3.8.94 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [794]
  3.8.95 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-d x} \sqrt {1+d x} (a+b x+c x^2)} \, dx\) [795]
  3.8.96 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-d x} \sqrt {1+d x} (a+b x+c x^2)^2} \, dx\) [796]
  3.8.97 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(1-d x)^{3/2} (1+d x)^{3/2}} \, dx\) [797]
  3.8.98 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(1-d x)^{3/2} (1+d x)^{3/2}} \, dx\) [798]
  3.8.99 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{(1-d x)^{3/2} (1+d x)^{3/2}} \, dx\) [799]
  3.8.100 \(\int \genfrac {}{}{}{}{1}{(1-d x)^{3/2} (1+d x)^{3/2} (a+b x+c x^2)} \, dx\) [800]